NOETHER'S THEOREM OF NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS
Li Yuan-cheng (李元成)a, Zhang Yi (张毅)b, Liang Jing-hui (梁景辉)c, Mei Feng-xiang(梅凤翔)d
a Department of Applied Physics, University of Petroleum, Dongying 257062, China; b Department of Basic Courses, Suzhou Institute of Urban Construction & Environmental Protection, Suzhou 215011, China; c Department of Physics, Shanxi Normal University, Linfen 041004, China; d Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China
Abstract In this paper, we present Noether's theorem and its inverse theorem for nonholonomic systems of non-Chetaev's type with unilateral constraints. We present first the principle of Jourdain for the system and, on the basis of the invariance of the differential variational principle under the infinitesimal transformations of groups, we have established Noether's theory for the above systems. An example is given to illustrate the application of the result.
Received: 29 July 2000
Revised: 30 December 2000
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No.19572018).
Cite this article:
Li Yuan-cheng (李元成), Zhang Yi (张毅), Liang Jing-hui (梁景辉), Mei Feng-xiang (梅凤翔) NOETHER'S THEOREM OF NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS 2001 Chinese Physics 10 376
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
